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Finding the Fourth Proportional to 37,838.34, 56,724.66 and 19,102.77

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Solution

The fourth proportional to 37,838.34, 56,724.66 and 19,102.77 is: 28,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.34 : 56,724.66 = 19,102.77 : x
  2. Step 2: Convert to fraction form
    37,838.34/56,724.66 = 19,102.77/x
  3. Step 3: Cross multiply
    37,838.34x = 56,724.66 × 19,102.77
  4. Step 4: Simplify right side
    37,838.34x = 1,083,598,133.31
  5. Step 5: Solve for x
    x = 1,083,598,133.31/37,838.34
  6. Step 6: Final answer
    x = 28,637.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.